228.15 is what percent of 1267.3 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 1267.3 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 1267.3, so we can write it down as 100%=1267.3.
4. We know, that x% equals 228.15 of the output value, so we can write it down as x%=228.15.
5. Now we have two simple equations:
1) 100%=1267.3
2) x%=228.15
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=1267.3/228.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 228.15 is what percent of 1267.3

100%/x%=1267.3/228.15
(100/x)*x=(1267.3/228.15)*x       - we multiply both sides of the equation by x
100=5.5546789392943*x       - we divide both sides of the equation by (5.5546789392943) to get x
100/5.5546789392943=x
18.002840684921=x
x=18.002840684921

now we have:
228.15 is 18.002840684921% of 1267.3